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Finding the Fourth Proportional to 848.07, 1,272.57 and 458.06

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Solution

The fourth proportional to 848.07, 1,272.57 and 458.06 is: 687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.07 : 1,272.57 = 458.06 : x
  2. Step 2: Convert to fraction form
    848.07/1,272.57 = 458.06/x
  3. Step 3: Cross multiply
    848.07x = 1,272.57 × 458.06
  4. Step 4: Simplify right side
    848.07x = 582,915.13
  5. Step 5: Solve for x
    x = 582,915.13/848.07
  6. Step 6: Final answer
    x = 687.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.